Abstract-This paper presents two closely related algorithms for the problem of pole placement via static output feedback. The algorithms are based on two different trust region methods and utilize the derivatives of the closed loop poles. Extensive numerical experiments show the effectiveness of the algorithms in practice though convergence to a solution is not guaranteed for either algorithm. While desired poles must be distinct, strategies for dealing with repeated poles are also presented.Index Terms-Pole placement, static output feedback, trust region method, Newton's method, Levenberg-Marquardt method, eigenvalue derivatives.

No abstract

This paper presents an algorithm for the static output feedback stabilization problem. The algorithm is iterative in nature and is based on alternating projection ideas. The main computational component of each iteration of the algorithm is a Schur matrix decomposition and the solution of a standard least squares problem. The paper contains computational results illustrating the effectiveness of the algorithm.